Answer:
V = 66 cm³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = Ah ( A is the area of triangular end and h is perpendicular height )
A = \(\frac{1}{2}\) × 3 × 4 = 6 cm² and h = 11
V = 6 × 11 = 66 cm³
What are the two consecutive numbers whose squares differ by 25??
Answer:
12 and 13
Step-by-step explanation:
let the consecutive numbers be n and n + 1 , then their difference is
(n + 1)² - n² = 25 ← expand parenthesis on left side using FOIL
n² + 2n + 1 - n² = 25
2n + 1 = 25 ( subtract 1 from both sides )
2n = 24 ( divide both sides by 2 )
n = 12 and n + 1 = 12 + 1 = 13
the 2 numbers are 12 and 13 , that is
13² - 12² = 169 - 144 = 25
Complete the square
x^2 - 2x - 14 = 0
Someone please help thanks!!!
Answer:
-3/2
Step-by-step explanation:
The slope of a line is calculated by dividing the difference in the y-coordinates by the difference in the x-coordinates.
Here, the given ordered pairs are (-6, -8) and (-14, 4), so the slope is:
slope = m = (4 - (-8)) / (-14 - (-6)) = 12 / (-8) = -3/2
The answer is thus -3/2.
~ an aesthetics lover
Answer:
m= -3/2
I hope this helps.
Solve for x and write your answer in simplest form.
x-3(2/3x+3)=(-3/2x+1)-3/2x
The solution to the equation x - 3[(2/3)x + 3] = [(-3/2)x + 1 - (3/2)x gives the value x = -4
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
x - 3[(2/3)x + 3] = [(-3/2)x + 1 - (3/2)x
x - 2x + 9 = [(-3/2)x + 1 - (3/2)x
Multiplying through by 2:
2x - 4x + 18 = -3x + 2 - 3x
Adding like terms:
-2x + 18 = -6x + 2
-4x = 16
x = -4
The solution to the equation x - 3[(2/3)x + 3] = [(-3/2)x + 1 - (3/2)x gives the value x = -4
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what is 2x+10=38
if you answer correct i give brainlyest
Answer: X equals 14
1. What is the volume of this object? 3 ft 7 ft 5 ft 5 ft 2 ft 7 ft
Answer:175ft cube is the volume of the figure.
Step-by-step explanation:The volume of lower part is,
V=L*B*H
V=5*7*2
V=70ft cube
Volume of upper grade part is,
V2=L*B*H
V2=3*5*7
V2=105ft cube
Therefore total volume=V+V2
=175 ft cube
elizabeth is a landscape designer. she designed a small pond with a fountain that her company plans to manufacture and market. it is a free-form shape, and the company wants to include the area of the pond on the packaging. a. she takes a model of the pond and places it inside a 25-ft by 25-ft square. what is the area of the square? (express your answer in square feet) b. she then takes a photo of the pond in the square. then, using a graphing calculator, she generates 5,000 random points inside the square with the pond. she finds that 3,200 of these points land inside the pond outline. what percent of the points landed in the pond? c. what is the area of the pond, to the nearest square foot?
Answer:
a. The area of the square is 25 feet x 25 feet = 625 square feet.
b. To find the percent of points that landed in the pond, we divide the number of points that landed in the pond by the total number of points generated and multiply by 100.
3,200 points / 5,000 points = 0.64
0.64 x 100 = 64%
so 64% of the points landed in the pond.
c. To find the area of the pond, we multiply the proportion of points that landed in the pond by the area of the square.
64% of the points landed in the pond = 0.64
Area of the pond = 0.64 x 625 square feet = 400 square feet. So, the area of the pond, to the nearest square foot, is 400 square feet.
Step-by-step explanation:
2. What is the place value of the digit 2 in: 0.3251
A. tenths B. hundredths C. thousandths
D. ten thousandth
Answer:
Digit 2 is the hundredths place value
Step-by-step explanation:
plz mark as brainliest ! :D
what would be examined by determining how many students met the cutoff score and how many did not meet the cutoff score for a test on day 1 and again on day 2?
The appropriate test statistic for comparing the number of students who met or did not meet a cutoff score on two different days would be the McNamar's test.
McNamar's test is a statistical test used to compare paired proportions or counts of dichotomous data.
In this case, the paired proportions would be the number of students who met or did not meet the cutoff score on day 1 and day 2.
The test statistic for McNamar's test is the chi-square statistic, calculated using the following formula,
X² = ((b-c)²) / (b + c)
where b is the number of students who met the cutoff score on day 1 but not day 2,
And c is the number of students who did not meet the cutoff score on day 1 but did meet the cutoff score on day 2.
The chi-square statistic follows a chi-square distribution with 1 degree of freedom.
A p-value can be calculated based on this distribution to determine if there is a statistically significant difference between the paired proportions.
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The above question is incomplete, the complete question is:
What test statistic would be examined by determining how many students met the cutoff score and how many did not meet the cutoff score for a test on day 1 and again on day 2?
What is the slope the line that passes through the points:
(-6, 14), (2, -18)
O-
4
О O
1
4
4.
-4
(-6, 14) and (2, -18)
To Find:The slope of the line that passes through the point.
Slope Formula:y2 - y1 / x2 - x1
Solution:-18 - 14 / 2 + 6
= -32 / 8
= -4
Answer:Option D. -4
f(x)=2x+1 and g(x)=x^2-7, find (f+g)(x)
Answer: (x^2-7)/(2x+1) \color(red)(f(x)=2x+1) and \color(blue)(g(x)=x^2-7) Thus, we have: (g/f)(x)=\color(blue)(g(x))/\color(red)(f(x))=\color(blue)(x^2-7)/\color(red)(2x+1)
Step-by-step explanation:
Write an equation of an ellipse centered at the origin, satisfying the given conditions.
vertex (0, √29) ; co-vertex (-5,0)
The equation of the ellipse centered at the origin, satisfying the given conditions, is: \(x^2/25 + y^2/29 = 1.\)
To write an equation of an ellipse centered at the origin, we can use the standard form equation:
\(x^2/a^2 + y^2/b^2 = 1\)
where "a" represents the semi-major axis and "b" represents the semi-minor axis.
Given that the vertex is located at (0, √29), we can determine the value of "b". The distance from the origin to the vertex is equal to the value of "b". In this case, √29 is the value of "b".
Now, we need to determine the value of "a". The co-vertex is located at (-5, 0). The distance from the origin to the co-vertex is equal to the value of "a". In this case, 5 is the value of "a".
Plugging these values into the equation, we get:
\(x^2/5^2 + y^2/√29^2 = 1\)
Simplifying, we have:
\(x^2/25 + y^2/29 = 1\)
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Can you please help me asap? full explanation
The congruency postulate that proves that both triangles are congruent is: Angle Angle Side Congruency Postulate
How to prove congruent triangles?There are different proofs of congruent triangles such as:
SSS: This denotes Side, Side Side Congruency Postulate
SAS: Side Angle Side Congruency Postulate
ASA: Angle Side Angle Congruency Postulate
AAS: Angle Angle Side Congruency Postulate
HL: Hypotenuse Leg Congruency Postulate
From the given triangle, we can tell that:
PO ≅ MO: Given
∠PSO ≅ ∠MNO: Given
Now, ∠POS and ∠MON are opposite angles and all opposite angles in this manner are congruent.
This means a congruency postulate of AAS would be adequate to prove the congruency.
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3.68 x 10^3 show me step by step please I need help.
Answer:
3680
Step-by-step explanation:
Do 10x10x10 = 1,000 Then take a zero for every place so
100 36.8
10 368
3680.
Get it?
Answer:
the answer would be 3,680
Step-by-step explanation:
3.68*10= 36.8
36.8*10=368
368*10= 3680
What is the volume of the prism below?
A. 288 units3
B. 144 units3
C. 180 units3
D. 56 units3
The volume of the given figure is 288 cubic units.
Given a prism with the base dimension of 8×12 units and the height of 3 units.
From the general formula of the volume of the prism,
The volume of a prism is the product of the area of the base and the height of the prism. Prism volume (V) = B × h,
where, B is the area of the base and h is the height of the prism. = l × w × h,
where l, w, and h are the length, width, and height of the rectangular prism.
In our case,
l = 12
w =8
h =3
Volume of the prism = 12 *8 * 3
Volume of the prism = 288
Therefore, the volume of the prism will be 288 cubic units.
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Chris wants to make at least 4.5 pounds, but no more than 5 pounds of berry salad he finds a carton of raspberries that weighs 1.83 pounds a carton of blueberries that weighs 1.5 pounds a carton of blackberries that weighs 1.29 pounds if Chris wants to use three different types of berries what is one combination of cartons he should buy?
Chris wants to use three different types of berries then 4.62 is one combination of cartons he should buy.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
We are given that Chris wants to make at least 4.5 pounds, but no more than 5 pounds of berry salad he finds a carton of raspberries that weighs 1.83 pounds
A carton of blueberries that weighs 1.5 pounds.
A carton of blackberries that weighs 1.29 pounds
Therefore, add all of them together, then we get
1.83+1.5+1.29=4.62
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what is the quotient of 1,224 divided by 9
Answer:
136Step-by-step explanation:
Simply divide the numbers, the result is the quotient
1224/9 = 136The quotient of the given expression when 1,224 divided by 9 is 136.
The quotient is defined as the number obtained on dividing a number with some number.
The number left after the division is called as the remainder.
Example: When 37 is divided by 5, the quotient is 5 and the remainder is 2.
The quotient of the following expression can be calculated as:
When 1224 is divided by 9, it gets divisible in 136 times completely, leaving no remainder.
So, it can be said that 136 is the quotient when 1,224 divided by 9.
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malik is younger than daniel. their ages are consecutive integers. find malik’s age if the product of their ages is 42.
Answer:
go to gogle
Step-by-step explanation:
The consecutive age is 6 and 7 and Malik is 6 years old.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let their Consecutive age be x, x+1
So, x(x+ 1)= 42
x²+ x - 42 = 0
x² + 7x- 6x - 42=0
x( x+ 7)- 6 ( x+ 7)= 0
(x+ 7)( x-6)= 0
x = 6, -7
Hence, the consecutive age is 6 and 7.
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define the following terms:independent eventsdependent eventsmutually exclusive eventsexhaustive
Independent events- events that do not affect each other's probability of occurring. Dependent events- events where the occurrence of one event affects the probability of the other event happening. Mutually exclusive events- events that cannot occur at the same time. Exhaustive events- events that cover all possible outcomes.
1. Independent events: Independent events are events in which the occurrence of one event does not affect the probability of the occurrence of another event. In other words, the outcome of one event has no impact on the outcome of the other event.
2. Dependent events: Dependent events are events in which the occurrence of one event does affect the probability of the occurrence of another event. The outcome of one event is influenced by the outcome of the other event.
3. Mutually exclusive events: Mutually exclusive events are events that cannot occur at the same time. The occurrence of one event means the other event cannot occur. For example, flipping a coin and getting both heads and tails at the same time is a mutually exclusive event, as it is impossible for both to happen simultaneously.
4. Exhaustive events: Exhaustive events are a set of events that include all possible outcomes in a given situation. They are complete and cover every possibility, leaving no room for additional outcomes. For example, when flipping a coin, the set of exhaustive events includes both heads and tails, as there are no other possible outcomes.
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what does x=
9 16 4
need help asap
Answer:
x = 16
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 60 = 8/x
Multiply by x
x cos60 = 8
Divide by cos 60
x = 8/ cos 60
x = 16
Is this answer The median of 14 is the most accurate to use, since the data is skewed. or it's wrong?
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
1, 1, 6, 10, 10, 11, 12, 14, 15, 18, 20, 20, 20, 20, 20
A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 4 above 11 to 15, and up to 6 above 16 to 20.
Which measure of center should the charity use to accurately represent the data? Explain your answer.
The median of 14 is the most accurate to use, since the data is skewed.
The mean of 13.2 is the most accurate to use, since the data is skewed.
The median of 13.2 is the most accurate to use to show that they need more money.
The mean of 14 is the most accurate to use to show that they have plenty of money.
The median of 14 is the most accurate to use, since the data is skewed.
The most appropriate measure of center to represent the data depends on the nature of the data distribution. Looking at the histogram provided, it appears that the data is positively skewed, with a long tail towards the right. This means that there are a few larger values (donations in this case) that are pulling the mean towards the right, while the median is a better representative of the typical or central donation.
Therefore, in this case, the median of 14 is the most accurate measure of center to use to represent the data, since it is less affected by the extreme values and gives a better idea of the central tendency of the data. The mean of 13.2 is also close to the median and can be used as a measure of center, but it is not as representative of the typical donation due to the skewness of the data.
The median of 13.2 and the mean of 14 cannot be used to show whether the charity needs more or plenty of money, as this depends on other factors such as the expenses and goals of the charity.
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In this polygon, all angles are right angles.
What is the area of the polygon? Show your work.
The area of the polygon is solved to be 1044 squared cm
How to find the are of the c]polygonThe area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas
Section 1 has dimensions:
length * width = 46 * 14 = 644
section 2 has dimensions:
length = 46 - 21 = 25
width = 30 - 14 = 16
Area = 25 * 16 = 400
Area of the composite figure
section 1 + section 2
= 644 + 400
= 1044 squared cm
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Julianne is using a biking app that compares his position to a simulated bike or traveling Julianne’s target speed. When Julianne is behind the simulated biker he has a negative position. I took a screenshot of the problem I am having difficulty with.
Given
\(\begin{gathered} Speed=20\frac{km}{h} \\ Time\text{ }taken=15\text{ }minutes \\ Initial\text{ }distance=2\frac{1}{4}km \end{gathered}\)To find:
The average speed of Julian.
Explanation:
It is given that,
\(\begin{gathered} Speed=20\frac{km}{h} \\ Time\text{ }taken=15\text{ }minutes \\ Initial\text{ }distance=2\frac{1}{4}km \end{gathered}\)That implies,
\(\begin{gathered} Distance\text{ }traveled=Speed\times Time \\ =20\frac{km}{h}\times15minutes \\ =20\frac{km}{h}\times15(\frac{1}{60})h \\ =20\frac{km}{h}\times\frac{1}{4}h \\ =5km \end{gathered}\)Therefore,
\(\begin{gathered} Average\text{ }speed=\frac{Final\text{ }distance-Initial\text{ }distance}{Time\text{ }taken} \\ =\frac{(5-2\frac{1}{4})km}{\frac{1}{4}h} \\ =\frac{5-\frac{9}{4}}{\frac{1}{4}}\frac{km}{h} \\ =\frac{\frac{20-9}{4}}{\frac{1}{4}}\frac{km}{h} \\ =11\frac{km}{h} \end{gathered}\)Hence, the average speed of Jean is 11 km/h.
the area of this parallelogram is 51.5 cm2. work out the value of x
Answer:
The formula for area of a parallelogram is A=bh
x=10.3
Step-by-step explanation:
We don't have the base but we have the height.
the base is x and the height is 5
if the area is 51.5
we should divide the height to find the base.
51.5÷5=10.3
so the base is 10.3
Check if answer is correct:
b=10.3
h=5
a= 51.5
10.3(5)=51.5
a= 51.5cm²
I hope this helps as long as you know the formula it's easy :D
the vertices of the trapezoid are the origin along with a (4m, 4n), b (4q, 4n), and c (4p, 0). find the midpoint of the midsegment of the trapezoid.
The midpoint of the midsegment of Trapezoid is E(2m, 2n) and F (2(q+p), 2n).
According to the question,
The vertices of the trapezoid are A(4m , 4n) , B(4q , 4n) , C(4p , 0) and D(0,0).
Let mid-point of midsegment of Trapezoid be E and F
Using section formula
E (x- coordinate)= 1*4m + 0 /2
E (x- coordinate)=2m
E (Y- coordinate)= 4n/2
E (Y- coordinate)=2n
So, the coordinates of E (2m, 2n)
similarly,
F (x- coordinate)= (1*4q + 1*4p)/2
F (x- coordinate)=2(p + q)
F (Y- coordinate)= 4n/2
F(Y- coordinate)=2n
So, the coordinates of F (2(q +p), 2n)
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find one seventh of the sum of 19 and the product of 4 and 11
Answer: One seventh of the sum of 19: 2.714
Product of 4 and 11: 44
Step-by-step explanation:
4x11=44
One seventh times 19 equal 2.714.
1/7 x 19/1 = 19/7
Simpified 2 5/7
2 5/2 as decimals is 2.714
can you please explain it ?
given tan(x)=24/25 (in quadrant 1), find sin(2x)
Given tan(x)=24/25 (in quadrant 1), the value of sin(2x) is 2352 / 15625.
How to calculate the valueIt should be noted that tan(x) = sin(x) / cos(x)
Given tan(x) = 24/25, we can represent it as:
24/25 = sin(x) / cos(x)
cos²(x) + sin²(x) = 1
Since we're in quadrant 1, both sin(x) and cos(x) are positive. Let's solve for cos(x):
cos²(x) + (24/25)² = 1
cos²(x) + 576/625 = 1
cos²(x) = 1 - 576/625
cos²(x) = 49/625
Taking the square root of both sides:
cos(x) = sqrt(49/625)
cos(x) = 7/25
Now that we have cos(x), we can find sin(x) using the given equation:
24/25 = sin(x) / (7/25)
Multiplying both sides by (7/25):
(7/25) * (24/25) = sin(x)
168/625 = sin(x)
Now, we have sin(x) and cos(x), and we can use double angle formula to find sin(2x):
sin(2x) = 2 * sin(x) * cos(x)
Substituting the values we found:
sin(2x) = 2 * (168/625) * (7/25)
sin(2x) = (2 * 168 * 7) / (625 * 25)
sin(2x) = 2352 / 15625
Therefore, sin(2x) = 2352/15625.
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22, divided by, 25, end fraction of a number is what percentage of that number?
Answer:
88% is the correct answer
22, divided by, 25, end fraction of a number is 88% of that number.
To find what percentage 22, divided by 25, is of a number, we can set up an expression using the formula for calculating percentages:
Percentage = (Part / Whole) * 100
Where:
Part is 22 divided by 25 (22/25).
Whole is the original number.
Let's represent the original number as "x":
Percentage = (22/25) / x * 100
Now, let's find the percentage value.
To do that, we need to divide 22 by 25 and then multiply by 100:
Percentage = (22/25) * 100
To simplify, you can cancel out common factors in the fraction 22/25:
Percentage = (22 * 4) / (25 * 4) * 100
Percentage = 88 / 100 * 100
Now, multiply the fraction by 100 to get the percentage:
Percentage = 88%
So, 22, divided by 25, is 88% of the original number.
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A truck can be rented from Company A for $110 a day plus $0.20 per mile. Company B charges $70 a day plus $0.40 per mile to rent the same truck. Find the
number of miles in a day at which the rental costs for Company A and Company B are the same.
The number of miles in a day at which the rental costs for Company A and Company B are the same will be 200 miles.
We are given that:
For Company A:
Fixed cost = $ 110
Variable cost = $ 0.20 per mile
For Company B:
Fixed cost = $ 70
Variables cost = $ 0.40 per mile
Let the number of miles in a day be x.
So, the equation for rental cost for company A will be:
Rental cost = 110 + 0.20 x
The equation for rental cost for company B will be:
rental cost = 70 + 0.40 x
Now, put both rental cost equal.
110 + 0.20 x = 70 + 0.40 x
0.40 x - 0.20 x = 110 - 70
0.20 x = 40
x = 40 / 0.20
x = 200 miles.
Therefore, the number of miles in a day at which the rental costs for Company A and Company B are the same will be 200 miles.
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